UNKNOTTING TUNNELS, BRACELETS AND THE ELDER SIBLING PROPERTY FOR HYPERBOLIC 3-MANIFOLDS
نویسندگان
چکیده
منابع مشابه
Elder siblings and the taming of hyperbolic 3-manifolds
A 3-manifold is tame if it is homeomorphic to the interior of a compact manifold with boundary. Marden’s conjecture asserts that any hyperbolic 3-manifold M = H/Γ with π1(M) finitely-generated is tame. This paper presents a criterion for tameness. We show that wildness ofM is detected by large-scale knotting of orbits of Γ. The elder sibling property prevents knotting and implies tameness by a ...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 2013
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788713000116